Question

Find the value of x.

m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

Answer 1

The value of x is 1.

Step-by-step explanation:

To find the value of x in the given question, we need to set up an equation involving the angles.

From the information given, we have:

m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

We can set up an equation based on the relationship between the angles:

m∠IHG + m∠IHK + m∠KHG = 180°

Substituting the given angle measures, we have:

162° + (4x + 4)° + (8x + 2)° = 180°

Combine like terms:

12x + 168 = 180

Subtract 168 from both sides:

12x = 12

Divide both sides by 12:

x = 1

Therefore, the value of x is 1.